Q: Whether a Recovery-partition and its all contents will be created automatically..?

Yes, as long as it is an internal hard drive.

Gennady Abakyan wrote:

 

Please tell me whether a Recovery-partition and its all contents will be created automatically when I install Mac OS X 10.7 on a fully formatted new hard drive?

Usually, but there are some conditions that can prevent it.  See "Some features of Mac OS X Lion are not supported for the disk (volume name)" appears during installation.

So, I get exactly the same (hidden) Recovery-partition on my Mac mini 2011 as from the store if I delete the hard drive current partitions scheme and create a new scheme with an only one (bootable) partition?

You can't do that, at least not from the Mini, while you're runing from it.

You can, however, remove and/or resize partitions in most cases.  See #4 in Using Disk Utility.